AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the line y Region B is bounded by the parabolas x = y² and y = x². Region C is bounded by the parabola y = x², the line x = 1, and the x-axis. 1. What is the area of A? A. squnit B. 2 squnit C. squnit D. squnit 2. What is the area of B? A. / squnit B. 2 squnit C. squnit D. squnit 3. What is the area of C? A. squnit B. squnit C. squnit D. / squnit 4. What is the volume of the solid generated when region C is revolved about the x-axis? A. V≈ 0.63 c. u. B. V≈ 0.72 c. u. C. V≈ 0.84 c. u. D. V≈ 0.92 c. u. 5. What is the volume of the solid generated when region B is revolved about the y-axis? A. V 2.13 c. u. B. V≈ 0.94 c. u. C.V ~ 1.27 c. u. D. V 3.08 c. u. y = 1 x=y² B

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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Question
y
(1, 1)
X=1
y=x²
C
X
(0,0)
Region A is bounded by the parabola x = y², the line y = 1, and the y-axis.
Region B is bounded by the parabolas x = y² and y = x².
Region C is bounded by the parabola y = x², the line x = 1, and the x-axis.
1. What is the area of A?
A. squnit
B. 2 squnit
C. squnit
D. 3 squnit
2. What is the area of B?
A. squnit
B. 3 squnit
C. squnit
D. squnit
3. What is the area of C?
A. 2 squnit
B. squnit
C. squnit
D. / squnit
4. What is the volume of the solid generated when region C is revolved about the x-axis?
A. V≈ 0.63 c. u.
B. V≈ 0.72 c. u.
D. V≈ 0.92 c. u.
C. V≈ 0.84 c. u.
5. What is the volume of the solid generated when region B is revolved about the y-axis?
A. V 2.13 c. u.
B. V≈ 0.94 c. u.
C.V ~ 1.27 c. u.
D. V 3.08 c. u.
y = 1
x = y²
B
Transcribed Image Text:y (1, 1) X=1 y=x² C X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and the y-axis. Region B is bounded by the parabolas x = y² and y = x². Region C is bounded by the parabola y = x², the line x = 1, and the x-axis. 1. What is the area of A? A. squnit B. 2 squnit C. squnit D. 3 squnit 2. What is the area of B? A. squnit B. 3 squnit C. squnit D. squnit 3. What is the area of C? A. 2 squnit B. squnit C. squnit D. / squnit 4. What is the volume of the solid generated when region C is revolved about the x-axis? A. V≈ 0.63 c. u. B. V≈ 0.72 c. u. D. V≈ 0.92 c. u. C. V≈ 0.84 c. u. 5. What is the volume of the solid generated when region B is revolved about the y-axis? A. V 2.13 c. u. B. V≈ 0.94 c. u. C.V ~ 1.27 c. u. D. V 3.08 c. u. y = 1 x = y² B
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